Why the particle does not appear in cycle render mode?
Your hair is not showing because the strands are tiny. You set them to 0.002cm and a scale of 0.01, so they are virtually invisible.
Don't mix a shader with nothing, unless you are going for a stencil effect.
Use a hair shader if you want to render hair. Normal shaders can work, but there's a reason hair shaders exist.

Hope that helps.